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Finding the Fourth Proportional to 138,321.66, 190,882.02 and 77,893.05

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Solution

The fourth proportional to 138,321.66, 190,882.02 and 77,893.05 is: 107,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,321.66 : 190,882.02 = 77,893.05 : x
  2. Step 2: Convert to fraction form
    138,321.66/190,882.02 = 77,893.05/x
  3. Step 3: Cross multiply
    138,321.66x = 190,882.02 × 77,893.05
  4. Step 4: Simplify right side
    138,321.66x = 14,868,382,727.96
  5. Step 5: Solve for x
    x = 14,868,382,727.96/138,321.66
  6. Step 6: Final answer
    x = 107,491.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.